628243122528 has 288 divisors, whose sum is σ = 2064563085312. Its totient is φ = 177507302400.

The previous prime is 628243122523. The next prime is 628243122547. The reversal of 628243122528 is 825221342826.

628243122528 is a `hidden beast` number, since 6 + 2 + 82 + 4 + 312 + 252 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×628243122528² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628243122523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66609973 + ... + 66619403.

It is an arithmetic number, because the mean of its divisors is an integer number (7168621824).

Almost surely, 2^628243122528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628243122528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032281542656).

628243122528 is an abundant number, since it is smaller than the sum of its proper divisors (1436319962784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628243122528 is a wasteful number, since it uses less digits than its factorization.

628243122528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9807 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 628243122528 in words is "six hundred twenty-eight billion, two hundred forty-three million, one hundred twenty-two thousand, five hundred twenty-eight".